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NAEP Analysis and Scaling → Estimation of Population and Student Group Distributions → Examining the Population-Structure Models Used in NAEP → Proportion of Scale Score Variance Accounted for by the Population-Structure Models → Proportion of Scale Score Variance Accounted for by the Population-Structure Models, Grade 8 Mathematics State Assessment (Accommodations Permitted [R3]): By Jurisdiction, 2000
NAEP Technical DocumentationProportion of scale score variance accounted for by the population-structure models, grade 8 mathematics state assessment (accommodations permitted [R3]): By jurisdiction, 2000
Jurisdiction Number of principal components2 Proportion1 of scale score variance
Number sense, properties, and operations Measurement Geometry and spatial sense Data analysis, statistics, and probability Algebra and functions
Alabama 224 0.71 0.77 0.70 0.72 0.73
Arizona 214 0.71 0.78 0.73 0.79 0.78
Arkansas 228 0.78 0.83 0.77 0.79 0.78
California 217 0.78 0.83 0.79 0.79 0.81
Connecticut 234 0.78 0.81 0.76 0.82 0.79
Georgia 236 0.73 0.78 0.76 0.78 0.76
Hawaii 206 0.78 0.82 0.80 0.85 0.82
Idaho 216 0.76 0.76 0.76 0.82 0.76
Illinois 206 0.73 0.80 0.75 0.79 0.77
Indiana 205 0.71 0.73 0.71 0.72 0.76
Kansas 198 0.78 0.76 0.71 0.78 0.76
Kentucky 228 0.72 0.70 0.71 0.73 0.73
Louisiana 227 0.73 0.79 0.76 0.77 0.74
Maine 220 0.70 0.75 0.71 0.73 0.73
Maryland 235 0.74 0.78 0.78 0.81 0.77
Massachusetts 234 0.73 0.77 0.73 0.77 0.78
Michigan 212 0.72 0.80 0.72 0.75 0.75
Minnesota 195 0.72 0.78 0.75 0.74 0.76
Mississippi 226 0.71 0.75 0.76 0.79 0.77
Missouri 229 0.75 0.81 0.72 0.82 0.78
Montana 188 0.78 0.81 0.80 0.82 0.78
Nebraska 202 0.79 0.83 0.77 0.82 0.76
Nevada 229 0.76 0.78 0.75 0.79 0.77
New Mexico 222 0.76 0.83 0.79 0.80 0.79
New York 212 0.81 0.84 0.81 0.80 0.77
North Carolina 242 0.73 0.76 0.69 0.79 0.77
North Dakota 200 0.80 0.85 0.79 0.84 0.79
Ohio 213 0.72 0.77 0.71 0.75 0.74
Oklahoma 226 0.71 0.75 0.71 0.75 0.74
Oregon 220 0.71 0.76 0.73 0.75 0.79
Rhode Island 207 0.80 0.83 0.82 0.83 0.80
South Carolina 229 0.74 0.82 0.74 0.77 0.77
Tennessee 221 0.72 0.74 0.74 0.76 0.77
Texas 233 0.79 0.77 0.73 0.78 0.77
Utah 234 0.74 0.75 0.74 0.78 0.77
Vermont 200 0.80 0.85 0.81 0.86 0.81
Virginia 241 0.73 0.79 0.74 0.81 0.76
West Virginia 230 0.77 0.81 0.75 0.82 0.78
Wyoming 209 0.81 0.83 0.79 0.83 0.78
Other jurisdictions
American Samoa 125 0.96 0.97 0.95 0.97 0.93
District of Columbia 179 0.84 0.89 0.85 0.88 0.85
DDESS3 146 0.91 0.94 0.92 0.92 0.90
DoDDS4 192 0.83 0.89 0.86 0.88 0.82
Guam 143 0.84 0.92 0.88 0.90 0.87
1 Proportion is (Total Variance - Residual Variance)/Total Variance.
2 Excluding the constant term.
3 Department of Defense Domestic Dependent Elementary and Secondary Schools.
4 Department of Defense Dependents Schools (Overseas).
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2000 Mathematics Assessment.

Last updated 31 March 2008 (GF)

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